Question
The current in a circuit is halved. What happens to the resistance?
V=IR
(1 point)
Responses
The resistance stays the same.
The resistance stays the same.
The resistance is tripled.
The resistance is tripled.
The resistance is doubled.
The resistance is doubled.
The resistance is halved.
V=IR
(1 point)
Responses
The resistance stays the same.
The resistance stays the same.
The resistance is tripled.
The resistance is tripled.
The resistance is doubled.
The resistance is doubled.
The resistance is halved.
Answers
GPT-4o mini
According to Ohm's Law, \( V = IR \). If the current \( I \) is halved and the voltage \( V \) remains constant, we can rearrange the equation to find resistance \( R \):
\[ R = \frac{V}{I} \]
If the current \( I \) is halved (let's say it goes from \( I \) to \( \frac{I}{2} \)), then the new resistance can be calculated as:
\[ R_{new} = \frac{V}{\frac{I}{2}} = \frac{2V}{I} = 2R \]
Therefore, the resistance is doubled.
The correct response is:
**The resistance is doubled.**
\[ R = \frac{V}{I} \]
If the current \( I \) is halved (let's say it goes from \( I \) to \( \frac{I}{2} \)), then the new resistance can be calculated as:
\[ R_{new} = \frac{V}{\frac{I}{2}} = \frac{2V}{I} = 2R \]
Therefore, the resistance is doubled.
The correct response is:
**The resistance is doubled.**